Search a number
-
+
21003000131300 = 225211671573475231
BaseRepresentation
bin1001100011010001001000…
…10111001010111011100100
32202100212102012011101120212
410301220210113022323210
510223103121013200200
6112400351155514552
74265262631331255
oct461504427127344
982325365141525
1021003000131300
116768360032a90
1224326322b8a58
13b94760cab7a5
1452879cd02b2c
15266509bba035
hex131a245caee4

21003000131300 has 288 divisors, whose sum is σ = 50939415668736. Its totient is φ = 7452574272000.

The previous prime is 21003000131263. The next prime is 21003000131327. The reversal of 21003000131300 is 313100030012.

It is a super-2 number, since 2×210030001313002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4015099685 + ... + 4015104915.

It is an arithmetic number, because the mean of its divisors is an integer number (176872971072).

Almost surely, 221003000131300 is an apocalyptic number.

21003000131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21003000131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25469707834368).

21003000131300 is an abundant number, since it is smaller than the sum of its proper divisors (29936415537436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21003000131300 is a wasteful number, since it uses less digits than its factorization.

21003000131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 21003000131300 its reverse (313100030012), we get a palindrome (21316100161312).

The spelling of 21003000131300 in words is "twenty-one trillion, three billion, one hundred thirty-one thousand, three hundred".